2006 AMC 8 Problem 20
Attempt Problem 20 of the 2006 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2006 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
20.
A singles tournament had six players. Each player played every other player only once, with no ties. If Helen won games, Ines won games, Janet won games, Kendra won games and Lara won games, how many games did Monica win?
Answer: C
Small hint:
Count how many games are played in a six-player round robin.
Big hint:
Every game has exactly one winner, so total wins equal total games.
Solution:
In every match, there was exactly one winner. There are games and therefore wins.
There are already wins accounted for, so Monica won games.
Thus, C is the correct answer.
Problem 20 in other years
- 1985 AMC 8
- 1986 AMC 8
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